Lattices generated by orbits of subspaces under finite singular unitary group and its characteristic polynomials

DOI10.1016/S0024-3795(02)00674-2zbMath1025.20038MaRDI QIDQ1399248

You Gao

Publication date: 30 July 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

orbits of subspacessingular orthogonal groupsgeometric latticessingular symplectic groupssingular unitary groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Lattices of subspaces and geometric closure systems (51D25)

Related Items (11)

Lattices generated by orbits of subspaces under finite singular pseudo-symplectic groups. I. ⋮ Lattices generated by orbits of subspaces under finite singular orthogonal groups. I ⋮ Singular linear space and its applications ⋮ Erdős-Ko-Rado theorems in certain semilattices ⋮ Lattices associated with vector spaces over a finite field ⋮ Lattices generated by orbits of totally isotropic flats under finite affine-classical groups ⋮ Lattices generated by orbits of subspaces under finite singular orthogonal groups. II. ⋮ Posets associated with subspaces in a \(d\)-bounded distance-regular graph ⋮ Lattices Generated by Two Orbits of Subspaces Under Finite Singular Classical Groups ⋮ Lattices generated by orbits of subspaces under finite singular pseudo-symplectic groups. II. ⋮ Lattices associated with totally isotropic subspaces in classical spaces

Cites Work

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• Arrangements in unitary and orthogonal geometry over finite fields
• Lattices generated by transitive sets of subspaces under finite classical groups I
• Lattices generated by transitive sets of subspaces under finite classical groups II the orthogonal case of odd characteristic
• Lattices Generated by Orbits of Subspaces Under Finite Singular Classical Groups and Its Characteristic Polynomials
• Lattices generated by transitive sets of subspaces under finite classical groups III the orthogonal case of even characteristic
• On the geometricity of lattices generated by orbits of subspaces under finite classical groups

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